Orbits in symmetric spaces, II

N. J. Kalton; F. A. Sukochev; D. Zanin

Studia Mathematica (2010)

  • Volume: 197, Issue: 3, page 257-274
  • ISSN: 0039-3223

Abstract

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Suppose E is fully symmetric Banach function space on (0,1) or (0,∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω(f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.

How to cite

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N. J. Kalton, F. A. Sukochev, and D. Zanin. "Orbits in symmetric spaces, II." Studia Mathematica 197.3 (2010): 257-274. <http://eudml.org/doc/285558>.

@article{N2010,
abstract = {Suppose E is fully symmetric Banach function space on (0,1) or (0,∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω(f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.},
author = {N. J. Kalton, F. A. Sukochev, D. Zanin},
journal = {Studia Mathematica},
keywords = {interpolation spaces; fully symmetric Banach function space; fully symmetric Banach sequence space; extreme points of the orbit; symmetrically normed ideals of compact operators},
language = {eng},
number = {3},
pages = {257-274},
title = {Orbits in symmetric spaces, II},
url = {http://eudml.org/doc/285558},
volume = {197},
year = {2010},
}

TY - JOUR
AU - N. J. Kalton
AU - F. A. Sukochev
AU - D. Zanin
TI - Orbits in symmetric spaces, II
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 3
SP - 257
EP - 274
AB - Suppose E is fully symmetric Banach function space on (0,1) or (0,∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω(f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.
LA - eng
KW - interpolation spaces; fully symmetric Banach function space; fully symmetric Banach sequence space; extreme points of the orbit; symmetrically normed ideals of compact operators
UR - http://eudml.org/doc/285558
ER -

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